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Review: Sum of Many Odd Integers
Explanation
When the GMAT says "sum," I think, "average." Indeed, we
can use the reformatted average formula,
The odd integers between 100 and 302 include 101, 103, ...
all the way up to 197 and 199, and then 201, 203, ... all the way up to 299, and
then a bonus at the end, 301. Counting both even and odd integers, the number
of integers from 101 to 200 is .
Half of them are odd, so that first group has 50 odd numbers. So, altogether,
we are talking about odd numbers, where the final one is the 301 at
the end. Since they are evenly spaced, their average will be the median value.
That will be the value 201, which will have 50 values below it and 50 above it.
Therefore,
The correct answer is (C).
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